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Simplifying -3(2y + 2) + -12 = -4(y + 7) + 2y Reorder the terms: -3(2 + 2y) + -12 = -4(y + 7) + 2y (2 * -3 + 2y * -3) + -12 = -4(y + 7) + 2y (-6 + -6y) + -12 = -4(y + 7) + 2y Reorder the terms: -6 + -12 + -6y = -4(y + 7) + 2y Combine like terms: -6 + -12 = -18 -18 + -6y = -4(y + 7) + 2y Reorder the terms: -18 + -6y = -4(7 + y) + 2y -18 + -6y = (7 * -4 + y * -4) + 2y -18 + -6y = (-28 + -4y) + 2y Combine like terms: -4y + 2y = -2y -18 + -6y = -28 + -2y Solving -18 + -6y = -28 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -18 + -6y + 2y = -28 + -2y + 2y Combine like terms: -6y + 2y = -4y -18 + -4y = -28 + -2y + 2y Combine like terms: -2y + 2y = 0 -18 + -4y = -28 + 0 -18 + -4y = -28 Add '18' to each side of the equation. -18 + 18 + -4y = -28 + 18 Combine like terms: -18 + 18 = 0 0 + -4y = -28 + 18 -4y = -28 + 18 Combine like terms: -28 + 18 = -10 -4y = -10 Divide each side by '-4'. y = 2.5 Simplifying y = 2.5
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