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Simplifying 3(y + 2) + -10 = 2(y + -1) + 5 Reorder the terms: 3(2 + y) + -10 = 2(y + -1) + 5 (2 * 3 + y * 3) + -10 = 2(y + -1) + 5 (6 + 3y) + -10 = 2(y + -1) + 5 Reorder the terms: 6 + -10 + 3y = 2(y + -1) + 5 Combine like terms: 6 + -10 = -4 -4 + 3y = 2(y + -1) + 5 Reorder the terms: -4 + 3y = 2(-1 + y) + 5 -4 + 3y = (-1 * 2 + y * 2) + 5 -4 + 3y = (-2 + 2y) + 5 Reorder the terms: -4 + 3y = -2 + 5 + 2y Combine like terms: -2 + 5 = 3 -4 + 3y = 3 + 2y Solving -4 + 3y = 3 + 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. -4 + 3y + -2y = 3 + 2y + -2y Combine like terms: 3y + -2y = 1y -4 + 1y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 1y = 3 + 0 -4 + 1y = 3 Add '4' to each side of the equation. -4 + 4 + 1y = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 1y = 3 + 4 1y = 3 + 4 Combine like terms: 3 + 4 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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