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Simplifying -62 + 7y + 5 = 3(4y + -3) + -3 Reorder the terms: -62 + 5 + 7y = 3(4y + -3) + -3 Combine like terms: -62 + 5 = -57 -57 + 7y = 3(4y + -3) + -3 Reorder the terms: -57 + 7y = 3(-3 + 4y) + -3 -57 + 7y = (-3 * 3 + 4y * 3) + -3 -57 + 7y = (-9 + 12y) + -3 Reorder the terms: -57 + 7y = -9 + -3 + 12y Combine like terms: -9 + -3 = -12 -57 + 7y = -12 + 12y Solving -57 + 7y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -57 + 7y + -12y = -12 + 12y + -12y Combine like terms: 7y + -12y = -5y -57 + -5y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 -57 + -5y = -12 + 0 -57 + -5y = -12 Add '57' to each side of the equation. -57 + 57 + -5y = -12 + 57 Combine like terms: -57 + 57 = 0 0 + -5y = -12 + 57 -5y = -12 + 57 Combine like terms: -12 + 57 = 45 -5y = 45 Divide each side by '-5'. y = -9 Simplifying y = -9
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