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Simplifying 4(12 + -1y) + 10y = 11(12 + -1y) + 5y (12 * 4 + -1y * 4) + 10y = 11(12 + -1y) + 5y (48 + -4y) + 10y = 11(12 + -1y) + 5y Combine like terms: -4y + 10y = 6y 48 + 6y = 11(12 + -1y) + 5y 48 + 6y = (12 * 11 + -1y * 11) + 5y 48 + 6y = (132 + -11y) + 5y Combine like terms: -11y + 5y = -6y 48 + 6y = 132 + -6y Solving 48 + 6y = 132 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 48 + 6y + 6y = 132 + -6y + 6y Combine like terms: 6y + 6y = 12y 48 + 12y = 132 + -6y + 6y Combine like terms: -6y + 6y = 0 48 + 12y = 132 + 0 48 + 12y = 132 Add '-48' to each side of the equation. 48 + -48 + 12y = 132 + -48 Combine like terms: 48 + -48 = 0 0 + 12y = 132 + -48 12y = 132 + -48 Combine like terms: 132 + -48 = 84 12y = 84 Divide each side by '12'. y = 7 Simplifying y = 7
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