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Simplifying -5(4y + -3) + -1y = -4(y + -2) Reorder the terms: -5(-3 + 4y) + -1y = -4(y + -2) (-3 * -5 + 4y * -5) + -1y = -4(y + -2) (15 + -20y) + -1y = -4(y + -2) Combine like terms: -20y + -1y = -21y 15 + -21y = -4(y + -2) Reorder the terms: 15 + -21y = -4(-2 + y) 15 + -21y = (-2 * -4 + y * -4) 15 + -21y = (8 + -4y) Solving 15 + -21y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 15 + -21y + 4y = 8 + -4y + 4y Combine like terms: -21y + 4y = -17y 15 + -17y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 15 + -17y = 8 + 0 15 + -17y = 8 Add '-15' to each side of the equation. 15 + -15 + -17y = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -17y = 8 + -15 -17y = 8 + -15 Combine like terms: 8 + -15 = -7 -17y = -7 Divide each side by '-17'. y = 0.4117647059 Simplifying y = 0.4117647059
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