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Simplifying -5(4y + -7) + -1y = -4(y + -4) Reorder the terms: -5(-7 + 4y) + -1y = -4(y + -4) (-7 * -5 + 4y * -5) + -1y = -4(y + -4) (35 + -20y) + -1y = -4(y + -4) Combine like terms: -20y + -1y = -21y 35 + -21y = -4(y + -4) Reorder the terms: 35 + -21y = -4(-4 + y) 35 + -21y = (-4 * -4 + y * -4) 35 + -21y = (16 + -4y) Solving 35 + -21y = 16 + -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. 35 + -21y + 4y = 16 + -4y + 4y Combine like terms: -21y + 4y = -17y 35 + -17y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 35 + -17y = 16 + 0 35 + -17y = 16 Add '-35' to each side of the equation. 35 + -35 + -17y = 16 + -35 Combine like terms: 35 + -35 = 0 0 + -17y = 16 + -35 -17y = 16 + -35 Combine like terms: 16 + -35 = -19 -17y = -19 Divide each side by '-17'. y = 1.117647059 Simplifying y = 1.117647059
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