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Simplifying -4(2y + 5) + -12 = -6(y + 7) + 2y Reorder the terms: -4(5 + 2y) + -12 = -6(y + 7) + 2y (5 * -4 + 2y * -4) + -12 = -6(y + 7) + 2y (-20 + -8y) + -12 = -6(y + 7) + 2y Reorder the terms: -20 + -12 + -8y = -6(y + 7) + 2y Combine like terms: -20 + -12 = -32 -32 + -8y = -6(y + 7) + 2y Reorder the terms: -32 + -8y = -6(7 + y) + 2y -32 + -8y = (7 * -6 + y * -6) + 2y -32 + -8y = (-42 + -6y) + 2y Combine like terms: -6y + 2y = -4y -32 + -8y = -42 + -4y Solving -32 + -8y = -42 + -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. -32 + -8y + 4y = -42 + -4y + 4y Combine like terms: -8y + 4y = -4y -32 + -4y = -42 + -4y + 4y Combine like terms: -4y + 4y = 0 -32 + -4y = -42 + 0 -32 + -4y = -42 Add '32' to each side of the equation. -32 + 32 + -4y = -42 + 32 Combine like terms: -32 + 32 = 0 0 + -4y = -42 + 32 -4y = -42 + 32 Combine like terms: -42 + 32 = -10 -4y = -10 Divide each side by '-4'. y = 2.5 Simplifying y = 2.5
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