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Simplifying 8(1.5y) + -7 = 5(1.5y) + 3y Remove parenthesis around (1.5y) 8 * 1.5y + -7 = 5(1.5y) + 3y Multiply 8 * 1.5 12y + -7 = 5(1.5y) + 3y Reorder the terms: -7 + 12y = 5(1.5y) + 3y Remove parenthesis around (1.5y) -7 + 12y = 5 * 1.5y + 3y Multiply 5 * 1.5 -7 + 12y = 7.5y + 3y Combine like terms: 7.5y + 3y = 10.5y -7 + 12y = 10.5y Solving -7 + 12y = 10.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10.5y' to each side of the equation. -7 + 12y + -10.5y = 10.5y + -10.5y Combine like terms: 12y + -10.5y = 1.5y -7 + 1.5y = 10.5y + -10.5y Combine like terms: 10.5y + -10.5y = 0.0 -7 + 1.5y = 0.0 Add '7' to each side of the equation. -7 + 7 + 1.5y = 0.0 + 7 Combine like terms: -7 + 7 = 0 0 + 1.5y = 0.0 + 7 1.5y = 0.0 + 7 Combine like terms: 0.0 + 7 = 7 1.5y = 7 Divide each side by '1.5'. y = 4.666666667 Simplifying y = 4.666666667
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