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Simplifying 7 + 3(3y + -3) = -2(4y + -8) + 5y Reorder the terms: 7 + 3(-3 + 3y) = -2(4y + -8) + 5y 7 + (-3 * 3 + 3y * 3) = -2(4y + -8) + 5y 7 + (-9 + 9y) = -2(4y + -8) + 5y Combine like terms: 7 + -9 = -2 -2 + 9y = -2(4y + -8) + 5y Reorder the terms: -2 + 9y = -2(-8 + 4y) + 5y -2 + 9y = (-8 * -2 + 4y * -2) + 5y -2 + 9y = (16 + -8y) + 5y Combine like terms: -8y + 5y = -3y -2 + 9y = 16 + -3y Solving -2 + 9y = 16 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -2 + 9y + 3y = 16 + -3y + 3y Combine like terms: 9y + 3y = 12y -2 + 12y = 16 + -3y + 3y Combine like terms: -3y + 3y = 0 -2 + 12y = 16 + 0 -2 + 12y = 16 Add '2' to each side of the equation. -2 + 2 + 12y = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 12y = 16 + 2 12y = 16 + 2 Combine like terms: 16 + 2 = 18 12y = 18 Divide each side by '12'. y = 1.5 Simplifying y = 1.5
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