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Simplifying 3(y + -12) = 2(4y + 22) Reorder the terms: 3(-12 + y) = 2(4y + 22) (-12 * 3 + y * 3) = 2(4y + 22) (-36 + 3y) = 2(4y + 22) Reorder the terms: -36 + 3y = 2(22 + 4y) -36 + 3y = (22 * 2 + 4y * 2) -36 + 3y = (44 + 8y) Solving -36 + 3y = 44 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -36 + 3y + -8y = 44 + 8y + -8y Combine like terms: 3y + -8y = -5y -36 + -5y = 44 + 8y + -8y Combine like terms: 8y + -8y = 0 -36 + -5y = 44 + 0 -36 + -5y = 44 Add '36' to each side of the equation. -36 + 36 + -5y = 44 + 36 Combine like terms: -36 + 36 = 0 0 + -5y = 44 + 36 -5y = 44 + 36 Combine like terms: 44 + 36 = 80 -5y = 80 Divide each side by '-5'. y = -16 Simplifying y = -16
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