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Simplifying 4(y + 1) = 7(y + -2) Reorder the terms: 4(1 + y) = 7(y + -2) (1 * 4 + y * 4) = 7(y + -2) (4 + 4y) = 7(y + -2) Reorder the terms: 4 + 4y = 7(-2 + y) 4 + 4y = (-2 * 7 + y * 7) 4 + 4y = (-14 + 7y) Solving 4 + 4y = -14 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 4 + 4y + -7y = -14 + 7y + -7y Combine like terms: 4y + -7y = -3y 4 + -3y = -14 + 7y + -7y Combine like terms: 7y + -7y = 0 4 + -3y = -14 + 0 4 + -3y = -14 Add '-4' to each side of the equation. 4 + -4 + -3y = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = -14 + -4 -3y = -14 + -4 Combine like terms: -14 + -4 = -18 -3y = -18 Divide each side by '-3'. y = 6 Simplifying y = 6
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