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Simplifying -2(-9y + 6) + -7 = 3(y + -1) + -5 Reorder the terms: -2(6 + -9y) + -7 = 3(y + -1) + -5 (6 * -2 + -9y * -2) + -7 = 3(y + -1) + -5 (-12 + 18y) + -7 = 3(y + -1) + -5 Reorder the terms: -12 + -7 + 18y = 3(y + -1) + -5 Combine like terms: -12 + -7 = -19 -19 + 18y = 3(y + -1) + -5 Reorder the terms: -19 + 18y = 3(-1 + y) + -5 -19 + 18y = (-1 * 3 + y * 3) + -5 -19 + 18y = (-3 + 3y) + -5 Reorder the terms: -19 + 18y = -3 + -5 + 3y Combine like terms: -3 + -5 = -8 -19 + 18y = -8 + 3y Solving -19 + 18y = -8 + 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. -19 + 18y + -3y = -8 + 3y + -3y Combine like terms: 18y + -3y = 15y -19 + 15y = -8 + 3y + -3y Combine like terms: 3y + -3y = 0 -19 + 15y = -8 + 0 -19 + 15y = -8 Add '19' to each side of the equation. -19 + 19 + 15y = -8 + 19 Combine like terms: -19 + 19 = 0 0 + 15y = -8 + 19 15y = -8 + 19 Combine like terms: -8 + 19 = 11 15y = 11 Divide each side by '15'. y = 0.7333333333 Simplifying y = 0.7333333333
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