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Simplifying -63 + 12y + 5 = 5(4y + -2) + -8 Reorder the terms: -63 + 5 + 12y = 5(4y + -2) + -8 Combine like terms: -63 + 5 = -58 -58 + 12y = 5(4y + -2) + -8 Reorder the terms: -58 + 12y = 5(-2 + 4y) + -8 -58 + 12y = (-2 * 5 + 4y * 5) + -8 -58 + 12y = (-10 + 20y) + -8 Reorder the terms: -58 + 12y = -10 + -8 + 20y Combine like terms: -10 + -8 = -18 -58 + 12y = -18 + 20y Solving -58 + 12y = -18 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -58 + 12y + -20y = -18 + 20y + -20y Combine like terms: 12y + -20y = -8y -58 + -8y = -18 + 20y + -20y Combine like terms: 20y + -20y = 0 -58 + -8y = -18 + 0 -58 + -8y = -18 Add '58' to each side of the equation. -58 + 58 + -8y = -18 + 58 Combine like terms: -58 + 58 = 0 0 + -8y = -18 + 58 -8y = -18 + 58 Combine like terms: -18 + 58 = 40 -8y = 40 Divide each side by '-8'. y = -5 Simplifying y = -5
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