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Simplifying 2(y + -4) + -2 = 3(y + -6) Reorder the terms: 2(-4 + y) + -2 = 3(y + -6) (-4 * 2 + y * 2) + -2 = 3(y + -6) (-8 + 2y) + -2 = 3(y + -6) Reorder the terms: -8 + -2 + 2y = 3(y + -6) Combine like terms: -8 + -2 = -10 -10 + 2y = 3(y + -6) Reorder the terms: -10 + 2y = 3(-6 + y) -10 + 2y = (-6 * 3 + y * 3) -10 + 2y = (-18 + 3y) Solving -10 + 2y = -18 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -10 + 2y + -3y = -18 + 3y + -3y Combine like terms: 2y + -3y = -1y -10 + -1y = -18 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + -1y = -18 + 0 -10 + -1y = -18 Add '10' to each side of the equation. -10 + 10 + -1y = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -1y = -18 + 10 -1y = -18 + 10 Combine like terms: -18 + 10 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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