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Simplifying 3(y + -4) = 5(y + 4) Reorder the terms: 3(-4 + y) = 5(y + 4) (-4 * 3 + y * 3) = 5(y + 4) (-12 + 3y) = 5(y + 4) Reorder the terms: -12 + 3y = 5(4 + y) -12 + 3y = (4 * 5 + y * 5) -12 + 3y = (20 + 5y) Solving -12 + 3y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -12 + 3y + -5y = 20 + 5y + -5y Combine like terms: 3y + -5y = -2y -12 + -2y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + -2y = 20 + 0 -12 + -2y = 20 Add '12' to each side of the equation. -12 + 12 + -2y = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 20 + 12 -2y = 20 + 12 Combine like terms: 20 + 12 = 32 -2y = 32 Divide each side by '-2'. y = -16 Simplifying y = -16
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