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Simplifying -3(6y + -5) + -1y = -2(y + -3) Reorder the terms: -3(-5 + 6y) + -1y = -2(y + -3) (-5 * -3 + 6y * -3) + -1y = -2(y + -3) (15 + -18y) + -1y = -2(y + -3) Combine like terms: -18y + -1y = -19y 15 + -19y = -2(y + -3) Reorder the terms: 15 + -19y = -2(-3 + y) 15 + -19y = (-3 * -2 + y * -2) 15 + -19y = (6 + -2y) Solving 15 + -19y = 6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 15 + -19y + 2y = 6 + -2y + 2y Combine like terms: -19y + 2y = -17y 15 + -17y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 15 + -17y = 6 + 0 15 + -17y = 6 Add '-15' to each side of the equation. 15 + -15 + -17y = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -17y = 6 + -15 -17y = 6 + -15 Combine like terms: 6 + -15 = -9 -17y = -9 Divide each side by '-17'. y = 0.5294117647 Simplifying y = 0.5294117647
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