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Simplifying 9(y + -4) + 9y + -34 = -2(y + -7) + -1y Reorder the terms: 9(-4 + y) + 9y + -34 = -2(y + -7) + -1y (-4 * 9 + y * 9) + 9y + -34 = -2(y + -7) + -1y (-36 + 9y) + 9y + -34 = -2(y + -7) + -1y Reorder the terms: -36 + -34 + 9y + 9y = -2(y + -7) + -1y Combine like terms: -36 + -34 = -70 -70 + 9y + 9y = -2(y + -7) + -1y Combine like terms: 9y + 9y = 18y -70 + 18y = -2(y + -7) + -1y Reorder the terms: -70 + 18y = -2(-7 + y) + -1y -70 + 18y = (-7 * -2 + y * -2) + -1y -70 + 18y = (14 + -2y) + -1y Combine like terms: -2y + -1y = -3y -70 + 18y = 14 + -3y Solving -70 + 18y = 14 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -70 + 18y + 3y = 14 + -3y + 3y Combine like terms: 18y + 3y = 21y -70 + 21y = 14 + -3y + 3y Combine like terms: -3y + 3y = 0 -70 + 21y = 14 + 0 -70 + 21y = 14 Add '70' to each side of the equation. -70 + 70 + 21y = 14 + 70 Combine like terms: -70 + 70 = 0 0 + 21y = 14 + 70 21y = 14 + 70 Combine like terms: 14 + 70 = 84 21y = 84 Divide each side by '21'. y = 4 Simplifying y = 4
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