5(-y+4)-7(2y-1)=3(5-4y)-2(5+3y)+17
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Resposta:
Let's solve your equation step-by-step.
5(−y+4)−7(2y−1)=3(5−4y)−2(5+3y)+17
Step 1: Simplify both sides of the equation.
5(−y+4)−7(2y−1)=3(5−4y)−2(5+3y)+17
(5)(−y)+(5)(4)+(−7)(2y)+(−7)(−1)=(3)(5)+(3)(−4y)+(−2)(5)+(−2)(3y)+17(Distribute)
−5y+20+−14y+7=15+−12y+−10+−6y+17
(−5y+−14y)+(20+7)=(−12y+−6y)+(15+−10+17)(Combine Like Terms)
−19y+27=−18y+22
−19y+27=−18y+22
Step 2: Add 18y to both sides.
−19y+27+18y=−18y+22+18y
−y+27=22
Step 3: Subtract 27 from both sides.
−y+27−27=22−27
−y=−5
Step 4: Divide both sides by -1.
−y/−1=−5/−1
y=5
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