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Simplifying -2(-9y + 4) + -1y = 5(y + -3) + -3 Reorder the terms: -2(4 + -9y) + -1y = 5(y + -3) + -3 (4 * -2 + -9y * -2) + -1y = 5(y + -3) + -3 (-8 + 18y) + -1y = 5(y + -3) + -3 Combine like terms: 18y + -1y = 17y -8 + 17y = 5(y + -3) + -3 Reorder the terms: -8 + 17y = 5(-3 + y) + -3 -8 + 17y = (-3 * 5 + y * 5) + -3 -8 + 17y = (-15 + 5y) + -3 Reorder the terms: -8 + 17y = -15 + -3 + 5y Combine like terms: -15 + -3 = -18 -8 + 17y = -18 + 5y Solving -8 + 17y = -18 + 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 + 17y + -5y = -18 + 5y + -5y Combine like terms: 17y + -5y = 12y -8 + 12y = -18 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 12y = -18 + 0 -8 + 12y = -18 Add '8' to each side of the equation. -8 + 8 + 12y = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 12y = -18 + 8 12y = -18 + 8 Combine like terms: -18 + 8 = -10 12y = -10 Divide each side by '12'. y = -0.8333333333 Simplifying y = -0.8333333333
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