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Simplifying 4(2y + -3) + -5y = 2(y + 1) Reorder the terms: 4(-3 + 2y) + -5y = 2(y + 1) (-3 * 4 + 2y * 4) + -5y = 2(y + 1) (-12 + 8y) + -5y = 2(y + 1) Combine like terms: 8y + -5y = 3y -12 + 3y = 2(y + 1) Reorder the terms: -12 + 3y = 2(1 + y) -12 + 3y = (1 * 2 + y * 2) -12 + 3y = (2 + 2y) Solving -12 + 3y = 2 + 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. -12 + 3y + -2y = 2 + 2y + -2y Combine like terms: 3y + -2y = 1y -12 + 1y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 1y = 2 + 0 -12 + 1y = 2 Add '12' to each side of the equation. -12 + 12 + 1y = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 2 + 12 1y = 2 + 12 Combine like terms: 2 + 12 = 14 1y = 14 Divide each side by '1'. y = 14 Simplifying y = 14
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