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Simplifying 7 + 9(y + -5) = 8y + -3(y + 10) Reorder the terms: 7 + 9(-5 + y) = 8y + -3(y + 10) 7 + (-5 * 9 + y * 9) = 8y + -3(y + 10) 7 + (-45 + 9y) = 8y + -3(y + 10) Combine like terms: 7 + -45 = -38 -38 + 9y = 8y + -3(y + 10) Reorder the terms: -38 + 9y = 8y + -3(10 + y) -38 + 9y = 8y + (10 * -3 + y * -3) -38 + 9y = 8y + (-30 + -3y) Reorder the terms: -38 + 9y = -30 + 8y + -3y Combine like terms: 8y + -3y = 5y -38 + 9y = -30 + 5y Solving -38 + 9y = -30 + 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. -38 + 9y + -5y = -30 + 5y + -5y Combine like terms: 9y + -5y = 4y -38 + 4y = -30 + 5y + -5y Combine like terms: 5y + -5y = 0 -38 + 4y = -30 + 0 -38 + 4y = -30 Add '38' to each side of the equation. -38 + 38 + 4y = -30 + 38 Combine like terms: -38 + 38 = 0 0 + 4y = -30 + 38 4y = -30 + 38 Combine like terms: -30 + 38 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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