Question

8-y+5=4y-22 resolvendo

Answer 1

Resposta:

y=7

Explicação passo-a-passo:

Encontrar o valor de y, para isolá-la de um lado de uma equação.

Grupo termos semelhantes (combinado termos semelhantes).

$\dislaystyle \mathsf{-y+8+5=4y-22}}}\\\\\\\textbf{Adicionar.}\\\\\\\displaystyle \mathsf{5+8=13}\\\\\\\displaystyle \mathsf{-y+13=4y-22}\\\\\\\textbf{\mathsf{Subtrair por 13 a partir de ambos os lados.}}}\\\\\\\displaystyle \mathsf{-y+13-13=4y-22-13}\\\\\\\textbf{Resolver.}\\\\\\\displaystyle \mathsf{-y=4y-35}\\\\\\\textbf{Subtrair por 4y a partir de ambos os lados.}\\\\\\\displaystyle \mathsf{-y-4y=4y-35-4y}\\\\\\\textbf{Resolver.}\\\\\\\displaystyle \mathsf{-5y=-35}$

Dividir por -5 a partir de ambos os lados.

$\displaystyle \mathsf{\frac{-5y}{-5}=\frac{-35}{-5}}\\\\\\\textbf{Resolver.}\\\\\\\displaystyle \mathsf{-35\div-5=7}\\\\\\\Rightarrow \Large\boxed{\mathsf{y=7}}$