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Simplifying -5(4y + -10) + -1y = -4(y + -2) Reorder the terms: -5(-10 + 4y) + -1y = -4(y + -2) (-10 * -5 + 4y * -5) + -1y = -4(y + -2) (50 + -20y) + -1y = -4(y + -2) Combine like terms: -20y + -1y = -21y 50 + -21y = -4(y + -2) Reorder the terms: 50 + -21y = -4(-2 + y) 50 + -21y = (-2 * -4 + y * -4) 50 + -21y = (8 + -4y) Solving 50 + -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. 50 + -21y + 4y = 8 + -4y + 4y Combine like terms: -21y + 4y = -17y 50 + -17y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 50 + -17y = 8 + 0 50 + -17y = 8 Add '-50' to each side of the equation. 50 + -50 + -17y = 8 + -50 Combine like terms: 50 + -50 = 0 0 + -17y = 8 + -50 -17y = 8 + -50 Combine like terms: 8 + -50 = -42 -17y = -42 Divide each side by '-17'. y = 2.470588235 Simplifying y = 2.470588235
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