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Simplifying 6y + -5(1 + y) = 2(2y + -2) + -10 6y + (1 * -5 + y * -5) = 2(2y + -2) + -10 6y + (-5 + -5y) = 2(2y + -2) + -10 Reorder the terms: -5 + 6y + -5y = 2(2y + -2) + -10 Combine like terms: 6y + -5y = 1y -5 + 1y = 2(2y + -2) + -10 Reorder the terms: -5 + 1y = 2(-2 + 2y) + -10 -5 + 1y = (-2 * 2 + 2y * 2) + -10 -5 + 1y = (-4 + 4y) + -10 Reorder the terms: -5 + 1y = -4 + -10 + 4y Combine like terms: -4 + -10 = -14 -5 + 1y = -14 + 4y Solving -5 + 1y = -14 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -5 + 1y + -4y = -14 + 4y + -4y Combine like terms: 1y + -4y = -3y -5 + -3y = -14 + 4y + -4y Combine like terms: 4y + -4y = 0 -5 + -3y = -14 + 0 -5 + -3y = -14 Add '5' to each side of the equation. -5 + 5 + -3y = -14 + 5 Combine like terms: -5 + 5 = 0 0 + -3y = -14 + 5 -3y = -14 + 5 Combine like terms: -14 + 5 = -9 -3y = -9 Divide each side by '-3'. y = 3 Simplifying y = 3
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