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Simplifying -5(6y + -7) + -1y = -4(y + -2) Reorder the terms: -5(-7 + 6y) + -1y = -4(y + -2) (-7 * -5 + 6y * -5) + -1y = -4(y + -2) (35 + -30y) + -1y = -4(y + -2) Combine like terms: -30y + -1y = -31y 35 + -31y = -4(y + -2) Reorder the terms: 35 + -31y = -4(-2 + y) 35 + -31y = (-2 * -4 + y * -4) 35 + -31y = (8 + -4y) Solving 35 + -31y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 35 + -31y + 4y = 8 + -4y + 4y Combine like terms: -31y + 4y = -27y 35 + -27y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 35 + -27y = 8 + 0 35 + -27y = 8 Add '-35' to each side of the equation. 35 + -35 + -27y = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -27y = 8 + -35 -27y = 8 + -35 Combine like terms: 8 + -35 = -27 -27y = -27 Divide each side by '-27'. y = 1 Simplifying y = 1
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