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Simplifying 3(y + -5) + -2(2y + 1) = 10 + 4y + -2y + -101 Reorder the terms: 3(-5 + y) + -2(2y + 1) = 10 + 4y + -2y + -101 (-5 * 3 + y * 3) + -2(2y + 1) = 10 + 4y + -2y + -101 (-15 + 3y) + -2(2y + 1) = 10 + 4y + -2y + -101 Reorder the terms: -15 + 3y + -2(1 + 2y) = 10 + 4y + -2y + -101 -15 + 3y + (1 * -2 + 2y * -2) = 10 + 4y + -2y + -101 -15 + 3y + (-2 + -4y) = 10 + 4y + -2y + -101 Reorder the terms: -15 + -2 + 3y + -4y = 10 + 4y + -2y + -101 Combine like terms: -15 + -2 = -17 -17 + 3y + -4y = 10 + 4y + -2y + -101 Combine like terms: 3y + -4y = -1y -17 + -1y = 10 + 4y + -2y + -101 Reorder the terms: -17 + -1y = 10 + -101 + 4y + -2y Combine like terms: 10 + -101 = -91 -17 + -1y = -91 + 4y + -2y Combine like terms: 4y + -2y = 2y -17 + -1y = -91 + 2y Solving -17 + -1y = -91 + 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. -17 + -1y + -2y = -91 + 2y + -2y Combine like terms: -1y + -2y = -3y -17 + -3y = -91 + 2y + -2y Combine like terms: 2y + -2y = 0 -17 + -3y = -91 + 0 -17 + -3y = -91 Add '17' to each side of the equation. -17 + 17 + -3y = -91 + 17 Combine like terms: -17 + 17 = 0 0 + -3y = -91 + 17 -3y = -91 + 17 Combine like terms: -91 + 17 = -74 -3y = -74 Divide each side by '-3'. y = 24.66666667 Simplifying y = 24.66666667
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