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Simplifying 2(y + -4) = 5(y + -7) Reorder the terms: 2(-4 + y) = 5(y + -7) (-4 * 2 + y * 2) = 5(y + -7) (-8 + 2y) = 5(y + -7) Reorder the terms: -8 + 2y = 5(-7 + y) -8 + 2y = (-7 * 5 + y * 5) -8 + 2y = (-35 + 5y) Solving -8 + 2y = -35 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -8 + 2y + -5y = -35 + 5y + -5y Combine like terms: 2y + -5y = -3y -8 + -3y = -35 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + -3y = -35 + 0 -8 + -3y = -35 Add '8' to each side of the equation. -8 + 8 + -3y = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = -35 + 8 -3y = -35 + 8 Combine like terms: -35 + 8 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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