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Simplifying -5(4y + -6) + -1y = -3(y + -4) Reorder the terms: -5(-6 + 4y) + -1y = -3(y + -4) (-6 * -5 + 4y * -5) + -1y = -3(y + -4) (30 + -20y) + -1y = -3(y + -4) Combine like terms: -20y + -1y = -21y 30 + -21y = -3(y + -4) Reorder the terms: 30 + -21y = -3(-4 + y) 30 + -21y = (-4 * -3 + y * -3) 30 + -21y = (12 + -3y) Solving 30 + -21y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 30 + -21y + 3y = 12 + -3y + 3y Combine like terms: -21y + 3y = -18y 30 + -18y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 30 + -18y = 12 + 0 30 + -18y = 12 Add '-30' to each side of the equation. 30 + -30 + -18y = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -18y = 12 + -30 -18y = 12 + -30 Combine like terms: 12 + -30 = -18 -18y = -18 Divide each side by '-18'. y = 1 Simplifying y = 1
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