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Simplifying -63 + 5y + 7 = 4(3y + -3) + -2 Reorder the terms: -63 + 7 + 5y = 4(3y + -3) + -2 Combine like terms: -63 + 7 = -56 -56 + 5y = 4(3y + -3) + -2 Reorder the terms: -56 + 5y = 4(-3 + 3y) + -2 -56 + 5y = (-3 * 4 + 3y * 4) + -2 -56 + 5y = (-12 + 12y) + -2 Reorder the terms: -56 + 5y = -12 + -2 + 12y Combine like terms: -12 + -2 = -14 -56 + 5y = -14 + 12y Solving -56 + 5y = -14 + 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. -56 + 5y + -12y = -14 + 12y + -12y Combine like terms: 5y + -12y = -7y -56 + -7y = -14 + 12y + -12y Combine like terms: 12y + -12y = 0 -56 + -7y = -14 + 0 -56 + -7y = -14 Add '56' to each side of the equation. -56 + 56 + -7y = -14 + 56 Combine like terms: -56 + 56 = 0 0 + -7y = -14 + 56 -7y = -14 + 56 Combine like terms: -14 + 56 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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