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Simplifying 5(-1y + 1) + -6(2y + -4) = -1y + 14 + -4y Reorder the terms: 5(1 + -1y) + -6(2y + -4) = -1y + 14 + -4y (1 * 5 + -1y * 5) + -6(2y + -4) = -1y + 14 + -4y (5 + -5y) + -6(2y + -4) = -1y + 14 + -4y Reorder the terms: 5 + -5y + -6(-4 + 2y) = -1y + 14 + -4y 5 + -5y + (-4 * -6 + 2y * -6) = -1y + 14 + -4y 5 + -5y + (24 + -12y) = -1y + 14 + -4y Reorder the terms: 5 + 24 + -5y + -12y = -1y + 14 + -4y Combine like terms: 5 + 24 = 29 29 + -5y + -12y = -1y + 14 + -4y Combine like terms: -5y + -12y = -17y 29 + -17y = -1y + 14 + -4y Reorder the terms: 29 + -17y = 14 + -1y + -4y Combine like terms: -1y + -4y = -5y 29 + -17y = 14 + -5y Solving 29 + -17y = 14 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 29 + -17y + 5y = 14 + -5y + 5y Combine like terms: -17y + 5y = -12y 29 + -12y = 14 + -5y + 5y Combine like terms: -5y + 5y = 0 29 + -12y = 14 + 0 29 + -12y = 14 Add '-29' to each side of the equation. 29 + -29 + -12y = 14 + -29 Combine like terms: 29 + -29 = 0 0 + -12y = 14 + -29 -12y = 14 + -29 Combine like terms: 14 + -29 = -15 -12y = -15 Divide each side by '-12'. y = 1.25 Simplifying y = 1.25
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