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Simplifying 5(y + -1) + 4(3y + 3) = 3(4y + -6) Reorder the terms: 5(-1 + y) + 4(3y + 3) = 3(4y + -6) (-1 * 5 + y * 5) + 4(3y + 3) = 3(4y + -6) (-5 + 5y) + 4(3y + 3) = 3(4y + -6) Reorder the terms: -5 + 5y + 4(3 + 3y) = 3(4y + -6) -5 + 5y + (3 * 4 + 3y * 4) = 3(4y + -6) -5 + 5y + (12 + 12y) = 3(4y + -6) Reorder the terms: -5 + 12 + 5y + 12y = 3(4y + -6) Combine like terms: -5 + 12 = 7 7 + 5y + 12y = 3(4y + -6) Combine like terms: 5y + 12y = 17y 7 + 17y = 3(4y + -6) Reorder the terms: 7 + 17y = 3(-6 + 4y) 7 + 17y = (-6 * 3 + 4y * 3) 7 + 17y = (-18 + 12y) Solving 7 + 17y = -18 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 7 + 17y + -12y = -18 + 12y + -12y Combine like terms: 17y + -12y = 5y 7 + 5y = -18 + 12y + -12y Combine like terms: 12y + -12y = 0 7 + 5y = -18 + 0 7 + 5y = -18 Add '-7' to each side of the equation. 7 + -7 + 5y = -18 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = -18 + -7 5y = -18 + -7 Combine like terms: -18 + -7 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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