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Simplifying -3(6y + -5) + -1y = 2(y + -4) Reorder the terms: -3(-5 + 6y) + -1y = 2(y + -4) (-5 * -3 + 6y * -3) + -1y = 2(y + -4) (15 + -18y) + -1y = 2(y + -4) Combine like terms: -18y + -1y = -19y 15 + -19y = 2(y + -4) Reorder the terms: 15 + -19y = 2(-4 + y) 15 + -19y = (-4 * 2 + y * 2) 15 + -19y = (-8 + 2y) Solving 15 + -19y = -8 + 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 = -8 + 2y + -2y Combine like terms: -19y + -2y = -21y 15 + -21y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + -21y = -8 + 0 15 + -21y = -8 Add '-15' to each side of the equation. 15 + -15 + -21y = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -21y = -8 + -15 -21y = -8 + -15 Combine like terms: -8 + -15 = -23 -21y = -23 Divide each side by '-21'. y = 1.095238095 Simplifying y = 1.095238095
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