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Simplifying 63 + 2y + 3 = 2(4y + -4) + -4 Reorder the terms: 63 + 3 + 2y = 2(4y + -4) + -4 Combine like terms: 63 + 3 = 66 66 + 2y = 2(4y + -4) + -4 Reorder the terms: 66 + 2y = 2(-4 + 4y) + -4 66 + 2y = (-4 * 2 + 4y * 2) + -4 66 + 2y = (-8 + 8y) + -4 Reorder the terms: 66 + 2y = -8 + -4 + 8y Combine like terms: -8 + -4 = -12 66 + 2y = -12 + 8y Solving 66 + 2y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 66 + 2y + -8y = -12 + 8y + -8y Combine like terms: 2y + -8y = -6y 66 + -6y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 66 + -6y = -12 + 0 66 + -6y = -12 Add '-66' to each side of the equation. 66 + -66 + -6y = -12 + -66 Combine like terms: 66 + -66 = 0 0 + -6y = -12 + -66 -6y = -12 + -66 Combine like terms: -12 + -66 = -78 -6y = -78 Divide each side by '-6'. y = 13 Simplifying y = 13
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