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Simplifying -4(2y + 3) + -12 = -6(y + 5) + 2y Reorder the terms: -4(3 + 2y) + -12 = -6(y + 5) + 2y (3 * -4 + 2y * -4) + -12 = -6(y + 5) + 2y (-12 + -8y) + -12 = -6(y + 5) + 2y Reorder the terms: -12 + -12 + -8y = -6(y + 5) + 2y Combine like terms: -12 + -12 = -24 -24 + -8y = -6(y + 5) + 2y Reorder the terms: -24 + -8y = -6(5 + y) + 2y -24 + -8y = (5 * -6 + y * -6) + 2y -24 + -8y = (-30 + -6y) + 2y Combine like terms: -6y + 2y = -4y -24 + -8y = -30 + -4y Solving -24 + -8y = -30 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -24 + -8y + 4y = -30 + -4y + 4y Combine like terms: -8y + 4y = -4y -24 + -4y = -30 + -4y + 4y Combine like terms: -4y + 4y = 0 -24 + -4y = -30 + 0 -24 + -4y = -30 Add '24' to each side of the equation. -24 + 24 + -4y = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -4y = -30 + 24 -4y = -30 + 24 Combine like terms: -30 + 24 = -6 -4y = -6 Divide each side by '-4'. y = 1.5 Simplifying y = 1.5
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