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Simplifying 5(1.5y) + 3y = 8(1.5y) + -7 Remove parenthesis around (1.5y) 5 * 1.5y + 3y = 8(1.5y) + -7 Multiply 5 * 1.5 7.5y + 3y = 8(1.5y) + -7 Combine like terms: 7.5y + 3y = 10.5y 10.5y = 8(1.5y) + -7 Remove parenthesis around (1.5y) 10.5y = 8 * 1.5y + -7 Multiply 8 * 1.5 10.5y = 12y + -7 Reorder the terms: 10.5y = -7 + 12y Solving 10.5y = -7 + 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. 10.5y + -12y = -7 + 12y + -12y Combine like terms: 10.5y + -12y = -1.5y -1.5y = -7 + 12y + -12y Combine like terms: 12y + -12y = 0 -1.5y = -7 + 0 -1.5y = -7 Divide each side by '-1.5'. y = 4.666666667 Simplifying y = 4.666666667
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