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Simplifying 3(y + -4) + -3 = -3(-8y + 2) + -3y Reorder the terms: 3(-4 + y) + -3 = -3(-8y + 2) + -3y (-4 * 3 + y * 3) + -3 = -3(-8y + 2) + -3y (-12 + 3y) + -3 = -3(-8y + 2) + -3y Reorder the terms: -12 + -3 + 3y = -3(-8y + 2) + -3y Combine like terms: -12 + -3 = -15 -15 + 3y = -3(-8y + 2) + -3y Reorder the terms: -15 + 3y = -3(2 + -8y) + -3y -15 + 3y = (2 * -3 + -8y * -3) + -3y -15 + 3y = (-6 + 24y) + -3y Combine like terms: 24y + -3y = 21y -15 + 3y = -6 + 21y Solving -15 + 3y = -6 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -15 + 3y + -21y = -6 + 21y + -21y Combine like terms: 3y + -21y = -18y -15 + -18y = -6 + 21y + -21y Combine like terms: 21y + -21y = 0 -15 + -18y = -6 + 0 -15 + -18y = -6 Add '15' to each side of the equation. -15 + 15 + -18y = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -18y = -6 + 15 -18y = -6 + 15 Combine like terms: -6 + 15 = 9 -18y = 9 Divide each side by '-18'. y = -0.5 Simplifying y = -0.5
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