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Simplifying -63 + 4y + 5 = 3(3y + -5) + -8 Reorder the terms: -63 + 5 + 4y = 3(3y + -5) + -8 Combine like terms: -63 + 5 = -58 -58 + 4y = 3(3y + -5) + -8 Reorder the terms: -58 + 4y = 3(-5 + 3y) + -8 -58 + 4y = (-5 * 3 + 3y * 3) + -8 -58 + 4y = (-15 + 9y) + -8 Reorder the terms: -58 + 4y = -15 + -8 + 9y Combine like terms: -15 + -8 = -23 -58 + 4y = -23 + 9y Solving -58 + 4y = -23 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -58 + 4y + -9y = -23 + 9y + -9y Combine like terms: 4y + -9y = -5y -58 + -5y = -23 + 9y + -9y Combine like terms: 9y + -9y = 0 -58 + -5y = -23 + 0 -58 + -5y = -23 Add '58' to each side of the equation. -58 + 58 + -5y = -23 + 58 Combine like terms: -58 + 58 = 0 0 + -5y = -23 + 58 -5y = -23 + 58 Combine like terms: -23 + 58 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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