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Simplifying 1(y + 3) = 2(y + -4) + -7 Reorder the terms: 1(3 + y) = 2(y + -4) + -7 (3 * 1 + y * 1) = 2(y + -4) + -7 (3 + 1y) = 2(y + -4) + -7 Reorder the terms: 3 + 1y = 2(-4 + y) + -7 3 + 1y = (-4 * 2 + y * 2) + -7 3 + 1y = (-8 + 2y) + -7 Reorder the terms: 3 + 1y = -8 + -7 + 2y Combine like terms: -8 + -7 = -15 3 + 1y = -15 + 2y Solving 3 + 1y = -15 + 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. 3 + 1y + -2y = -15 + 2y + -2y Combine like terms: 1y + -2y = -1y 3 + -1y = -15 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + -1y = -15 + 0 3 + -1y = -15 Add '-3' to each side of the equation. 3 + -3 + -1y = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = -15 + -3 -1y = -15 + -3 Combine like terms: -15 + -3 = -18 -1y = -18 Divide each side by '-1'. y = 18 Simplifying y = 18
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