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Simplifying -3(y + 4) + -2y = 2(y + 1) Reorder the terms: -3(4 + y) + -2y = 2(y + 1) (4 * -3 + y * -3) + -2y = 2(y + 1) (-12 + -3y) + -2y = 2(y + 1) Combine like terms: -3y + -2y = -5y -12 + -5y = 2(y + 1) Reorder the terms: -12 + -5y = 2(1 + y) -12 + -5y = (1 * 2 + y * 2) -12 + -5y = (2 + 2y) Solving -12 + -5y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + -5y + -2y = 2 + 2y + -2y Combine like terms: -5y + -2y = -7y -12 + -7y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + -7y = 2 + 0 -12 + -7y = 2 Add '12' to each side of the equation. -12 + 12 + -7y = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -7y = 2 + 12 -7y = 2 + 12 Combine like terms: 2 + 12 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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